Killing before Opening

Hey I have a tarp that I float on top of the surface and hold in place with the water tubes on the deck. then I place the saftey mesh on top of that for dog saftey and her enjoyment. but the question is - the water that collects on top of tarp is green.. can I dump chlorine in there a few days before I plan to open the pool is 14x28 feet - probably about 2 feet of water..